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\frac{5\times 9}{6}-44
Express \frac{5}{6}\times 9 as a single fraction.
\frac{45}{6}-44
Multiply 5 and 9 to get 45.
\frac{15}{2}-44
Reduce the fraction \frac{45}{6} to lowest terms by extracting and canceling out 3.
\frac{15}{2}-\frac{88}{2}
Convert 44 to fraction \frac{88}{2}.
\frac{15-88}{2}
Since \frac{15}{2} and \frac{88}{2} have the same denominator, subtract them by subtracting their numerators.
-\frac{73}{2}
Subtract 88 from 15 to get -73.